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Finding the Fourth Proportional to 538,647,357.84, 743,333,017.86 and 291,128,712.09

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Solution

The fourth proportional to 538,647,357.84, 743,333,017.86 and 291,128,712.09 is: 401,757,441.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,647,357.84 : 743,333,017.86 = 291,128,712.09 : x
  2. Step 2: Convert to fraction form
    538,647,357.84/743,333,017.86 = 291,128,712.09/x
  3. Step 3: Cross multiply
    538,647,357.84x = 743,333,017.86 × 291,128,712.09
  4. Step 4: Simplify right side
    538,647,357.84x = 216,405,584,143,554,752
  5. Step 5: Solve for x
    x = 216,405,584,143,554,752/538,647,357.84
  6. Step 6: Final answer
    x = 401,757,441.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.